Discrete Structure | B.Tech CS & IT 3rd Semester (IT 302) | RGPV & MP Universities | Graph Theory, Logic, Algebraic Structures, Combinatorics | MCQs, HOTS & Solved Examples | Useful for GATE CS

The Complete Discrete Structure Textbook for RGPV B.Tech CS & IT Students

Authored by Dr. D.C. Agarwal and published by Shree Sai Prakashan, this book is the recommended textbook for B.Tech Third Semester students of Computer Science and Information Technology at Rajiv Gandhi Proudyogiki Vishwavidyalaya (RGPV), Bhopal, and other Madhya Pradesh universities. With 528 pages of structured content, it is the most comprehensive Discrete Structure textbook aligned to the RGPV IT 302 syllabus available on Amazon.

What This Book Covers (5 Units, IT 302 Syllabus):

Unit I: Set Theory, Relations, Functions, Mathematical Induction, Proof by Contradiction, Venn Diagrams, Equivalence Relations, Pigeonhole Principle.

Unit II: Algebraic Structures — Semi Groups, Monoids, Groups, Abelian Groups, Cyclic Groups, Cosets, Factor Groups, Permutation Groups, Normal Subgroups, Homomorphism, Isomorphism, Rings and Fields.

Unit III: Propositional Logic, First Order Logic, Truth Tables, Tautologies, Contradictions, Predicates, Normal Forms, Universal and Existential Quantifiers, Finite State Machines, Language Recognizers.

Unit IV: Graph Theory — Planar Graphs, Multigraphs, Weighted Graphs, Isomorphic Graphs, Paths, Cycles, Connectivity, Eulerian Paths and Circuits, Hamiltonian Paths and Circuits, Graph Coloring, Chromatic Number.

Unit V: Posets, Hasse Diagrams, Lattices, Combinatorics — Permutations, Combinations, Binomial Theorem, Multinomial Coefficients, Recurrence Relations, Generating Functions.

Exam-Ready Pedagogy:

The book contains a variety of Solved Examples, Multiple Choice Questions (MCQs), Higher Order Thinking Skills (HOTS) Questions, and Objective Questions at the end of each unit. RGPV exam question papers frequently draw from the examples and practice sets in this book, making it essential for scoring well in the IT 302 semester exam.

Also Useful for GATE CS:

Discrete Mathematics constitutes approximately 15% of the GATE CS paper, covering Graph Theory, Mathematical Logic, Set Theory & Algebra, and Combinatorics — all of which are comprehensively covered in this book. B.Tech CS students preparing for GATE CS will find this book directly useful for the Discrete Math section.

Publisher: Shree Sai Prakashan, Meerut. Paperback, 528 pages.